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Vadim26 [7]
3 years ago
8

The Martins bought a house this year for $300,000. If the value of the house rises 4% each year, what will be the approximate va

lue of the house in 15 years?
Mathematics
2 answers:
Katarina [22]3 years ago
7 0

Answer: the approximate value of the house in 15 years is 540283

Step-by-step explanation:

If the value of the house rises 4% each year, then the growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the value of the house after t years.

t represents the number of years.

P represents the initial value of the house.

r represents rate of growth.

From the information given,

P = $300,000

r = 4% = 4/100 = 0.04,

t = 15 years

Therefore

A = 300000(1 + 0.04)^15

A = 300000(1.04)^15

A = 540283 to the nearest whole number

tigry1 [53]3 years ago
6 0
I believe it’s 30,180,000

First do 4% -> 0.04x15=0.6
0.6+100=100.6x300,000

But then again I’m not too sure so double check
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Proof by mathematical induction
Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0
3 years ago
The mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
Andreas93 [3]

Answer:

7

Step-by-step explanation:

To find the number, first multiply 8 by 3, since that is how you find the mean.

8 x 3 = 24 (total)

x + 6 + 11 = 24

x = 24 - 6 - 11

x = 7

Inverse:

7 + 6 + 11 = 24

Mean = 24/3 = 8

Hope this helps!

4 0
3 years ago
Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3
igor_vitrenko [27]

Answer:

y=\frac{1}{2}x-7

Step-by-step explanation:

So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.

First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

m_1\cdot m_2=-1

Plug -2 for one of the slopes.

-2\cdot m_2=-1

Divide by -2 to find the slope of our line.

m_2=1/2

Thus, our line needs to have a slope of 1/2.

Now, let's use the point-slope form. The point-slope form is given by:

y-y_1=m(x-x_1)\\

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

y-(-4)=\frac{1}{2}(x-6)\\

Simplify and distribute:

y+4=\frac{1}{2} x-3

Subtract 4 from both sides:

y=\frac{1}{2}x-7

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.

5 0
3 years ago
- What is the equation of a cirde with a center
wlad13 [49]

Answer:

<h2>C.</h2>

Step-by-step explanation:

The equationof a circle:

(x-h)^2+(y-k)^2=r^2

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have <em>center = (4, -1) → h = 4, k = -1</em>, and <em>r = 9</em>.

Substitute:

(x-4)^2+(y-(-1))^2=9^2\\\\\huge\boxed{(x-4)^2+(y+1)^2=81}

6 0
2 years ago
Read 2 more answers
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Gwar [14]
Hypothenuse is the longest side
You can see the X is the longest

Solution: A. X
8 0
2 years ago
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